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Finding the Third Proportional to 43,595,700 and 102,767,226

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Solution

The third proportional to 43,595,700 and 102,767,226 is: 242,251,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,595,700 : 102,767,226 = 102,767,226 : x
  2. Step 2: Convert to fraction form
    43,595,700/102,767,226 = 102,767,226/x
  3. Step 3: Cross multiply
    43,595,700x = 102,767,226 × 102,767,226
  4. Step 4: Simplify right side
    43,595,700x = 10,561,102,739,735,076
  5. Step 5: Solve for x
    x = 10,561,102,739,735,076/43,595,700
  6. Step 6: Final answer
    x = 242,251,018.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.